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Finding the Fourth Proportional to 6,889.75, 10,309.98 and 5,968.46

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Solution

The fourth proportional to 6,889.75, 10,309.98 and 5,968.46 is: 8,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.75 : 10,309.98 = 5,968.46 : x
  2. Step 2: Convert to fraction form
    6,889.75/10,309.98 = 5,968.46/x
  3. Step 3: Cross multiply
    6,889.75x = 10,309.98 × 5,968.46
  4. Step 4: Simplify right side
    6,889.75x = 61,534,703.23
  5. Step 5: Solve for x
    x = 61,534,703.23/6,889.75
  6. Step 6: Final answer
    x = 8,931.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.